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2 years ago

HELPPPPPPP FASTTTTTT PLSSSSSS

Mathematics

1 answer:

bulgar [2K]2 years ago

8 0

Answer:

that questons are from imagen math omg the answer is question 2

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Let r(t)=⟨t2,1−t,4t⟩. calculate the derivative of r(t)⋅a(t) at t=5, assuming that a(5)=⟨−4,4,−5⟩ and a′(5)=⟨−5,9,3⟩

erastovalidia [21]

$\mathbf r(t)=\langle t^2,1-t,4t\rangle$
$\implies\mathbf r'(t)=\langle 2t,-1,4\rangle$

$\dfrac{\mathrm d(\mathbf r(t)\cdot\mathbf a(t))}{\mathrm dt}\bigg|_{t=5}=\mathbf r'(5)\cdot\mathbf a(5)+\mathbf r(5)\cdot\mathbf a'(5)$
$=\langle10,-1,4\rangle\cdot\langle-4,4,-5\rangle+\langle25,-4,20\rangle\cdot\langle-5,9,3\rangle$
$=(-40-4-20)+(-125-36+60)$
$=-165$

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2 years ago

Martin bought a new tv for $1800 in 2015. It loses its value by 6.5% per year. What will the value of the tv be in 2021?

Andrej [43]

Answer:

$2000

Step-by-step explanation:

8 0

2 years ago

What is the value of the expression 2.6x10^9 over 1.3x10^2

arsen [322]

2.6/1.3 * (10^9/10^2)
2*10^7

4 0

2 years ago

Read 2 more answers

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$

To find the speed, we have to differentiate both sides with respect to time 't'

$\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6$

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0

3 months ago

Which figures demonstrate a translation?

tensa zangetsu [6.8K]

The two bottom graphs demonstrate translations.

<h3>Which figures demonstrate a translation?</h3>

We will have a translation only if:

The size of the figure does not change (like in option 1, which we can discard).
If the "direction" of the figure does not change, like in option 2, where you can see that there is a reflection.

The images where the figures are only moved a little bit are the ones that demonstrate just a translation, and these are the two lower ones.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

8 0

1 year ago